GCD of 120, 224, 901 Calculator

Given Input numbers are 120, 224, 901

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 120, 224, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 224, 901 is 1.

Therefore, GCD of numbers 120, 224, 901 is 1

Given Input Data is 120, 224, 901

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 901 is 17 x 53

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(120, 224) = 3360

GCD(120, 224) = ( 120 x 224 ) / 3360

GCD(120, 224) = 26880 / 3360

GCD(120, 224) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 901

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 901) = 7208

GCD(8, 901) = ( 8 x 901 ) / 7208

GCD(8, 901) = 7208 / 7208

GCD(8, 901) = 1

GCD of 120, 224, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 438, 154
• GCD of 169, 300, 276
• GCD of 440, 683, 452
• GCD of 380, 887, 175
• GCD of 733, 962, 575

1. What is the GCD of 120, 224, 901?

GCD of 120, 224, 901 is 1

2. Where do I get the detailed procedure to find GCD of 120, 224, 901?

You can find a detailed procedure to find GCD of 120, 224, 901 on our page.

3. How to find GCD of 120, 224, 901 on a calculator?

You can find the GCD of 120, 224, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.